Calculus Mayhem

Take it to the LIMIT...

100

lim x->3 of 5x² - 8x - 13/ x² - 5

What is 2?

200

lim x->2 of 3x² - x - 10/ x² - 4

What is 11/4?

300

lim->3 of: x⁴ - 81/ 2x² - 5x - 3

What is 108/7?

400

lim -> 4 of 3 - (x + 5)^.5/ x-4

What is -1/6?

500

lim x -> 0 of sin(5x)/3x

What is 5/3?

Momma and Baby

100

Differentiate: y= (3x + 1)²

What is 6(3x+1)?

200

Differentiate: y=(13x² - 5x + 8)^.5

What is 2x - 5/ 2 (13x² - 5x + 8)^.5?

300

Differentiate: y= (1- 4x + 7x⁵)³⁰

What is 30(35x⁴ - 4)(1 - 4x + 7x⁵)²⁹?

400

Differentiate: y= sin(5x)

What is 5cos(5x)?

500

Differentiate: y= 3tan(x^.5)

What is 2sec²(x^.5)/ 2(x^.5)

Quote that Quotient

100

Differentiate: y= 2/(x + 1)

What is -2/(x + 1)²?

200

Differentiate: y= x²/ (3x - 1)

What is x (3x - 2)/ (3x - 1)²?

300

Differentiate: y= 4sinx/ (2x + cosx)

What is 8(xcosx - sinx) + 4/ (2x + cosx)²?

400

Differentiate: y= (x² - 1)³/ (x² + 1)

What is 4x(x² - 1)² (x² + 2)/ (x² + 1)²?

500

Differentiate: y= (3x + 1)/x

What is 1/x²

Pure TRIG

100

Differentiate: y= 3sinx - 4cosx

What is 3cosx + 4cosx?

200

Differentiate: y= x³ tanx

What is x² (xsec²x + 3tanx)?

300

Differentiate: y= cosx/ (1 + sinx)

What is -1/ 1 + sinx?

400

Differentiate: y= (cscx)(cotx)

What is -cscx(csc²x + tan²x)?

500

Differentiate: y= sin²x/cos²x

What is 2(sec²x)(tanx)?

Produce that Product

100

Differentiate: y= (7x + 2)(x⁴)

What is 35x⁴ + 8x³?

200

Differentiate: y = (x³ + 7x - 1)(5x + 2)

What is 20x³ + 6x² + 70x + 9?

300

Differentiate: y= x^-2(4 + 3x^-3)

What is -( 15 + 8x³)/ x⁶?

400

Differentiate: y= 5x² + (sinx)(cosx)

What is 10x + cos(2x)?

500

Differentiate: y= (5x⁴)(x²)(x² + x + 1)

What is 5x⁵(8x² + 7x + 6)?